#493426 (C++14) No.1073 無限すごろく

• 問題: No.1073 無限すごろく
• ユーザー: penta
• 提出日時: 2020-06-06 15:00:30
• 言語: C++14 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 2 ms / 2,000 ms
• コード長: 4,745 bytes
• コンパイル時間: 1,634 ms
• コンパイル使用メモリ: 175,352 KB
• 実行使用メモリ: 5,376 KB
• 最終ジャッジ日時: 2024-06-06 02:01:23
• 合計ジャッジ時間: 2,638 ms
• ジャッジサーバーID （参考情報）: judge2 / judge1

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 5,248 KB
testcase_01	AC	2 ms; 5,376 KB
testcase_02	AC	2 ms; 5,376 KB
testcase_03	AC	2 ms; 5,376 KB
testcase_04	AC	1 ms; 5,376 KB
testcase_05	AC	2 ms; 5,376 KB
testcase_06	AC	1 ms; 5,376 KB
testcase_07	AC	2 ms; 5,376 KB
testcase_08	AC	1 ms; 5,376 KB
testcase_09	AC	2 ms; 5,376 KB
testcase_10	AC	2 ms; 5,376 KB
testcase_11	AC	2 ms; 5,376 KB
testcase_12	AC	1 ms; 5,376 KB
testcase_13	AC	2 ms; 5,376 KB
testcase_14	AC	2 ms; 5,376 KB
testcase_15	AC	2 ms; 5,376 KB
testcase_16	AC	2 ms; 5,376 KB
testcase_17	AC	2 ms; 5,376 KB
testcase_18	AC	2 ms; 5,376 KB
testcase_19	AC	2 ms; 5,376 KB
testcase_20	AC	2 ms; 5,376 KB
testcase_21	AC	2 ms; 5,376 KB
testcase_22	AC	2 ms; 5,376 KB
testcase_23	AC	2 ms; 5,376 KB
testcase_24	AC	2 ms; 5,376 KB
testcase_25	AC	2 ms; 5,376 KB
testcase_26	AC	2 ms; 5,376 KB
testcase_27	AC	2 ms; 5,376 KB
testcase_28	AC	2 ms; 5,376 KB
testcase_29	AC	2 ms; 5,376 KB
testcase_30	AC	2 ms; 5,376 KB
testcase_31	AC	2 ms; 5,376 KB
testcase_32	AC	2 ms; 5,376 KB

ソースコード

#include <bits/stdc++.h>
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define all(x) (x).begin(),(x).end()
using namespace std;
using ll = long long;
using P = pair<int,int>;
template <class T> void chmin(T &a, const T &b) noexcept { if (b < a) a = b; }
template <class T> void chmax(T &a, const T &b) noexcept { if (a < b) a = b; }
void debug_out() { cout << "\n"; }
template <class T, class... Args>
void debug_out(const T &x, const Args &... args) { cout << x << " "; debug_out(args...);}
#ifdef _DEBUG
  #define debug(...) debug_out(__VA_ARGS__)
#else
  #define debug(...) 
#endif

const int mod = 1000000007;
// const int mod = 998244353;
struct mint {
  ll x;
  mint(ll x=0):x((x%mod+mod)%mod){}
  mint operator-() const { return mint(-x);}
  mint& operator+=(const mint a) {
    if ((x += a.x) >= mod) x -= mod;
    return *this;
  }
  mint& operator-=(const mint a) {
    if ((x += mod-a.x) >= mod) x -= mod;
    return *this;
  }
  mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;}
  mint operator+(const mint a) const { return mint(*this) += a;}
  mint operator-(const mint a) const { return mint(*this) -= a;}
  mint operator*(const mint a) const { return mint(*this) *= a;}
  mint pow(ll t) const {
    if (!t) return 1;
    mint a = pow(t>>1);
    a *= a;
    if (t&1) a *= *this;
    return a;
  }
  // for prime mod
  mint inv() const { return pow(mod-2);}
  mint& operator/=(const mint a) { return *this *= a.inv();}
  mint operator/(const mint a) const { return mint(*this) /= a;}
  bool operator==(const mint rhs) const { return x == rhs.x; }
  bool operator!=(const mint rhs) const { return x != rhs.x; }
  bool operator<(const mint &a) const{ return x<a.x;};
};
istream& operator>>(istream& is, mint& a) { return is >> a.x;}
ostream& operator<<(ostream& os, const mint& a) { return os << a.x;}


template<typename E>
struct Matrix {
  vector<vector<E> > A;
  Matrix() {}
  Matrix(int n, int m):A(n,vector<E>(m,0)) {}
  Matrix(int n):A(n,vector<E>(n,0)) {}
  int height() const { return A.size();}
  int width() const { return A[0].size();}
  vector<E>& operator[](int k){ return A.at(k);}
  const vector<E>& operator[](int k) const { return A.at(k);}
  static Matrix I(int n) {
    Matrix mat(n);
    for (int i = 0; i < n; ++i) mat[i][i] = 1;
    return mat;
  }
  Matrix T() {
    int n = height(), m = width();
    vector<vector<E> > B = A;
    for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) swap(B[i][j],B[j][i]);
    return B;
  }
  Matrix& operator+=(const Matrix B) {
    int n = height(), m = width();
    assert(n == B.height() && m == B.width());
    for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) A[i][j] += B[i][j];
    return *this;
  }
  Matrix& operator-=(const Matrix B) {
    int n = height(), m = width();
    assert(n == B.height() && m == B.width());
    for (int i = 0; i < n; ++i) for (int j = 0; j < m; ++j) A[i][j] -= B[i][j];
    return *this;
  }
  Matrix& operator*=(const Matrix B) { 
    int n = height(), r = width(), m = B.width();
    assert(r == B.height());
    vector<vector<E> > res(n,vector<E>(m,0));
    for(int i = 0; i < n; ++i){
      for(int k = 0; k < r; ++k){
        for(int j = 0; j < m; ++j){
          res[i][j] += A[i][k] * B[k][j];
        }
      }
    }
    swap(A,res);
    return *this;
  }
  Matrix operator+(const Matrix B) const { return Matrix(*this) += B;}
  Matrix operator-(const Matrix B) const { return Matrix(*this) -= B;}
  Matrix operator*(const Matrix B) const { return Matrix(*this) *= B;}
  Matrix pow(ll t) const {
    if (!t) return Matrix::I(height());
    Matrix a = pow(t>>1);
    a *= a;
    if (t&1) a *= *this;
    return a;
  }
  E determinant() {
    assert(width() == height());
    Matrix B(*this);
    E res = 1;
    int n = height();
    for(int i = 0; i < n; ++i) {
      int idx = -1;
      for(int j = i; j < n; ++j) {
        if(B[j][i] != 0) idx = j;
      }
      if(idx == -1) return 0;
      if(i != idx) {
        swap(B[i], B[idx]);
        res *= -1;
      }
      res *= B[i][i];
      E vv = B[i][i];
      for(int j = 0; j < n; ++j) {
        B[i][j] /= vv;
      }
      for(int j = i+1; j < n; ++j) {
        E a = B[j][i];
        for(int k = 0; k < n; k++) {
          B[j][k] -= B[i][k] * a;
        }
      }
    }
    return res;
  }
  bool operator==(const Matrix rhs) const { return A == rhs.A; }
  bool operator!=(const Matrix rhs) const { return A != rhs.A; }
};

int main() {
  std::cin.tie(nullptr);
  std::ios_base::sync_with_stdio(false);
  std::cout << std::fixed << std::setprecision(15);
  ll n;
  cin >> n;
  Matrix<mint> a(6,6);
  rep(i,6) a[0][i] = mint(1)/6;
  for (int i = 1; i < 6; ++i) a[i][i-1] = 1;
  auto res = a.pow(n);
  cout << res[0][0] << endl;
  return 0;
}